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Finding the Third Proportional to 652,466 and 998,199

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Solution

The third proportional to 652,466 and 998,199 is: 1,527,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,466 : 998,199 = 998,199 : x
  2. Step 2: Convert to fraction form
    652,466/998,199 = 998,199/x
  3. Step 3: Cross multiply
    652,466x = 998,199 × 998,199
  4. Step 4: Simplify right side
    652,466x = 996,401,243,601
  5. Step 5: Solve for x
    x = 996,401,243,601/652,466
  6. Step 6: Final answer
    x = 1,527,131.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.